Answer:
B
Step-by-step explanation:
By inspection we can see that the slope of the line is m = 2/5; as x increases by 5, y increases by 2. Next, also by inspection, we see that the y-intercept is (0, 3/2). Using the slope-intercept formula y = mx + b, we get y = (2/5)x - 3/2.
Let's take a look at Answer B: If we divide all three terms by 2, we get:
(2/5)x - y > 3/2. This matches the equation found earlier, y = (2/5)x - 3/2 if we rewrite (2/5)x - y > 3/2 as (2/5)x - 3/2 > y.
Thus, all points that satisfy this inequality are BELOW the y = (2/5)x - 3/2,
Answer B is the correct one.
